A Real-Time Transient Analysis of a Functionally Graded Material Plate Using Reduced-Basis Methods

• 作者: Yi Huang Yonghui Huang
• 来源期刊: 线性代数与矩阵理论研究进展(英文)
• 学科: 医学
• 关键词: Reduced-Basis METHOD TRANSIENT Response Functionally GRADED Material Hybrid Numerical METHOD REAL-TIME
• 年，卷（期）: 2015,（3）
• 页码范围: 98-108
• 页数: 11页
• 分类号: R73

摘要

Based on the hybrid numerical method (HNM) combining with a reduced-basis method (RBM), the real-time transient response of a functionally graded material (FGM) plates is obtained. The large eigenvalue problem in wavenumber domain has been solved through real-time off-line/on-line calculation. At off-line stage, a reduced-basis space is constructed in sample wavenumbers according to the solved eigenvalue problems. The matrices independent of parameters are projected onto the reduced-basis spaces. At on-line stage, the reduced eigenvalue problems of the arbitrary wavenumbers are built. Subsequently, the responses in wavenumber domain are obtained by the approximated eigen-pairs. Because of the application of RBM, the computational cost of transient displacement analysis of FGM plate is decreased significantly, while the accuracy of the solution and the physics of the structure are still retained. The efficiency and validity of the proposed method are demonstrated through a numerical example.